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Finding the Fourth Proportional to 16,357.58, 22,572.92 and 9,643.09

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Solution

The fourth proportional to 16,357.58, 22,572.92 and 9,643.09 is: 13,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.58 : 22,572.92 = 9,643.09 : x
  2. Step 2: Convert to fraction form
    16,357.58/22,572.92 = 9,643.09/x
  3. Step 3: Cross multiply
    16,357.58x = 22,572.92 × 9,643.09
  4. Step 4: Simplify right side
    16,357.58x = 217,672,538.04
  5. Step 5: Solve for x
    x = 217,672,538.04/16,357.58
  6. Step 6: Final answer
    x = 13,307.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.